Calendar

Abstract: In this talk will be presented various results concerning the symmetry and symmetry breaking properties of positive solutions of nonlinear elliptic PDEs. In some cases related to the study of Caffarelli-Kohn-Nirenberg inequalities the use of flows can provide optimal results concerning symmetry or symmetry breaking. In other cases, where magnetic Laplacians are concerned, the situation becomes more complicated, and one cannot always prove optimal results. Various examples will be discussed during the talk.